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102101021200200 = 2335211118713032731
BaseRepresentation
bin10111001101110000111111…
…000110011000111101001000
3111101111202120201101001211010
4113031300333012120331020
5101340310342411401300
61001052321150403520
730335361325525011
oct2715607706307510
9441452521331733
10102101021200200
112a594888776970
12b54ba415005a0
1344c811493a709
141b2da041cc008
15bc0d364a4a50
hex5cdc3f198f48

102101021200200 has 192 divisors, whose sum is σ = 345578006949120. Its totient is φ = 24730908448000.

The previous prime is 102101021200177. The next prime is 102101021200219. The reversal of 102101021200200 is 2002120101201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1317835 + ... + 14350565.

It is an arithmetic number, because the mean of its divisors is an integer number (1799885452860).

Almost surely, 2102101021200200 is an apocalyptic number.

102101021200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101021200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172789003474560).

102101021200200 is an abundant number, since it is smaller than the sum of its proper divisors (243476985748920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101021200200 is a wasteful number, since it uses less digits than its factorization.

102101021200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033948 (or 13033939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101021200200 its reverse (2002120101201), we get a palindrome (104103141301401).

The spelling of 102101021200200 in words is "one hundred two trillion, one hundred one billion, twenty-one million, two hundred thousand, two hundred".